Finding the Third Proportional to 46,320 and 71,767
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Solution
The third proportional to 46,320 and 71,767 is: 111,193.92
Step by Step Solution
- Step 1: Write the proportion equation
46,320 : 71,767 = 71,767 : x - Step 2: Convert to fraction form
46,320/71,767 = 71,767/x - Step 3: Cross multiply
46,320x = 71,767 × 71,767 - Step 4: Simplify right side
46,320x = 5,150,502,289 - Step 5: Solve for x
x = 5,150,502,289/46,320 - Step 6: Final answer
x = 111,193.92
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.